- The best method to test Zoe's claim is an observational study, as with this method it is possible to observe if the claim presents some truth to it. Observational studies are often used in testing claims like Zoe's as they allowed to have a great access to the variable that are behind a claim of that type, and so they are also more accessible.
- The set up I would use is an observational study of a great number of people, over a long period of time, that have to have<span> kale for breakfast every day, with a measurement of their cholesterol over the time. the great number and the long period of study assured that the variable subject of study is statistically represented in an optimal way. </span>
Answer:
y=-2x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=-2(x-1)
y+7=-2x+2
y=-2x+2-7
y=-2x-5
Answer:
Solution given:
Y=90°
∠X=73°.
∠ZWY=80°
and XW=80.
ZY=?
We know that
In right angled triangle ∆ XYZ
Tan 73=
3.27=
3.27×[xy]=yz
xw+wy=
wy=
-80...........(1)
again
In right angled triangle WYZ
Tan 80=
5.67×wy=yz
wy=
yz=5.67×wy............................................(2)
E<u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>equation</u><u> </u><u>1</u><u>&</u><u>2</u>
=
-80
-
=80
5.67yz-3.27yz=80*5.67*3.27
2.4yz =1483.272
yz=
yz=618.03
:.y=618.03unit.<u>the length of ZY to the nearest 100</u><u>th</u><u> </u><u>is</u><u> </u><u>6</u><u>1</u><u>8</u><u>.</u>
Answer:
A. The coefficients of the sum are whole numbers and the sum is a polynomial.
Step-by-step explanation:
The approach to demonstrate the closure property for the sum consists in defining what a polynomial is and demonstrate that the sum of two polynomials with integer coefficients is equal to a polynomial with integer coefficients. We proceed to show the proof below:
1)
,
Given
2)
Definition of addition
3)
Definition of substraction/Associative and Commutative properties
4)
Distributive property/Definition of substraction
5)
Definition of addition/Result
Hence, the coefficients of the sum are whole numbers and the sum is a polynomial. The correct answer is A.
Answer:
a) Sinusoidal functions are y = a sin [b(x-h)] + k (or)
y = a cos [b(x-h)] + k
Where a is amplitude a= (max-min)/2=(16-2)/2=7
period p= 2π/b
b=2π/30
Horizontal transformation to 10 units right h=10
k= (max+min)/2=(16+2)/2=9
h = 7 cos [π/15(t-10)]+ 9
b) t=10min=600 sec
substitue in the above equation
h=5.5m